Patterning - Term Value from Equation for Decreasing Arithmetic Pattern (Level 1)

This math topic focuses on determining the term values from equations representing decreasing arithmetic patterns. Each problem involves substituting a given value of \( n \) into a linear arithmetic expression to find the specific term in the sequence. The patterns shown include subtracting a scaled version of \( n-1 \) from a constant, requiring basic algebraic manipulation and calculation skills. This set of problems is designed to enhance students' abilities to work with and understand arithmetic sequences, particularly those that decrement, part of a broader category on advanced patterns and sums.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Patterning - Term Value from Equation for Decreasing Arithmetic Pattern Worksheet

Math worksheet on 'Patterning - Term Value from Equation for Decreasing Arithmetic Pattern (Level 1)'. Part of a broader unit on 'Patterns and Sums - Advanced' Learn online: app.mobius.academy/math/units/patterns_and_sums_advanced/

1

Find the term for n=7 given this pattern equation

a

49

b

121

c

3,965,760

d

61

e

37

f

45

2

Find the term for n=9 given this pattern equation

a

22

b

19

c

71

d

23

e

27

f

308,367

3

Find the term for n=7 given this pattern equation

a

31

b

35

c

34

d

85

e

36

f

37

4

Find the term for n=8 given this pattern equation

a

26

b

24

c

66

d

31

e

98,415

f

23

5

Find the term for n=7 given this pattern equation

a

30

b

64

c

24

d

28

e

33,534

f

46

6

Find the term for n=8 given this pattern equation

a

22

b

18

c

94,041

d

8

e

64

f

25

7

Find the term for n=6 given this pattern equation

a

52

b

77

c

676,512

d

117

e

67

f

57